Question #974b9

Let's convert 5 hours and 31 minutes into minutes.

1 hour = 60 minutes

#therefore# 5 hours = 60 x 5 = 300 minutes.

Now we just add the 31 minutes to get 331 minutes.

#therefore# 400 minutes is longer by 69 minutes.

First, we can convert "5 hours 31 minutes" to minutes.

There are 60 minutes per hour. Therefore:

#1" hour" = 60" minutes")#

#color(red)(5) xx 1" hour" = color(red)(5) xx 60" minutes"#

#5" hours" = 300" minutes"#

#300" minutes" + 31" minutes" = 331" minutes"#

The answer to the first part of the question is:

400 minutes is longer than 5 hours 31 minutes.

Now, we can subtract 331 minutes from 400 minutes to find out how much longer:

#400" minutes" - 331" minutes" = 69" minutes"

#69" minutes" = 60" minutes" + 9 "minutes" = #

#1" hour " 9" minutes"#

It is 69 minutes or 1 hour 9 minutes longer.

Using the known condition that 1 hour is the same length of time as 60 minutes

So for 5 hours we have 5 lots of 60 minutes

#color(white)(3)60#
#color(white)(3)60#
#color(white)(3)60#
#color(white)(3)60#
#ul(color(white)(3)60 larr" Add")#
#300#

Note that #60# is the same as #6xx10#

So #5xx60# is the same as #5xx6xx10 = 30xx10=300#

Thus 5 hours and 31 minutes is:

#300#
#ul(color(white)(3)31larr" Add")#
#331# minutes

But #331# minutes is less than #400# minutes

So 400 minutes is longer

The difference in time is

#400#
#ul(331 larr" Subtract")#
#color(white)(3)69# minutes #->" 1 hour 9 minutes"#